1021332120 has 128 divisors (see below), whose sum is σ = 3275251200. Its totient is φ = 253884416.

The previous prime is 1021332113. The next prime is 1021332133. The reversal of 1021332120 is 212331201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021332120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215941 + ... + 220619.

It is an arithmetic number, because the mean of its divisors is an integer number (25587900).

Almost surely, 2^1021332120 is an apocalyptic number.

1021332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637625600).

1021332120 is an abundant number, since it is smaller than the sum of its proper divisors (2253919080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021332120 is a wasteful number, since it uses less digits than its factorization.

1021332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1021332120 is about 31958.2871881457. The cubic root of 1021332120 is about 1007.0607353478.

Adding to 1021332120 its reverse (212331201), we get a palindrome (1233663321).

The spelling of 1021332120 in words is "one billion, twenty-one million, three hundred thirty-two thousand, one hundred twenty".